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Finding the Fourth Proportional to 4,304.84, 6,444.78 and 3,646.76

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Solution

The fourth proportional to 4,304.84, 6,444.78 and 3,646.76 is: 5,459.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,304.84 : 6,444.78 = 3,646.76 : x
  2. Step 2: Convert to fraction form
    4,304.84/6,444.78 = 3,646.76/x
  3. Step 3: Cross multiply
    4,304.84x = 6,444.78 × 3,646.76
  4. Step 4: Simplify right side
    4,304.84x = 23,502,565.91
  5. Step 5: Solve for x
    x = 23,502,565.91/4,304.84
  6. Step 6: Final answer
    x = 5,459.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.